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Finding the Third Proportional to 212.63 and 312.19

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Solution

The third proportional to 212.63 and 312.19 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 312.19 = 312.19 : x
  2. Step 2: Convert to fraction form
    212.63/312.19 = 312.19/x
  3. Step 3: Cross multiply
    212.63x = 312.19 × 312.19
  4. Step 4: Simplify right side
    212.63x = 97,461.04
  5. Step 5: Solve for x
    x = 97,461.04/212.63
  6. Step 6: Final answer
    x = 458.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.